{"id":156406,"date":"2022-03-26T01:43:18","date_gmt":"2022-03-25T20:13:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/terminating-decimal-definition-meaning-uses-theorem-and-faqs\/"},"modified":"2022-12-22T21:38:45","modified_gmt":"2022-12-22T16:08:45","slug":"terminating-decimal-definition-meaning-uses-theorem-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/terminating-decimal\/","title":{"rendered":"Terminating Decimal &#8211; Definition, Meaning, Uses, Theorem and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/terminating-decimal\/#What_is_a_Decimal\" title=\"What is a Decimal?\">What is a Decimal?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/terminating-decimal\/#What_is_Terminating_Math_Definition\" title=\"What is Terminating Math Definition?\">What is Terminating Math Definition?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/terminating-decimal\/#Recognising_a_Terminating_Decimal\" title=\"Recognising a Terminating Decimal\">Recognising a Terminating Decimal<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/terminating-decimal\/#What_is_Non-Terminating_Meaning\" title=\"What is Non-Terminating Meaning?\">What is Non-Terminating Meaning?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/terminating-decimal\/#Theorem\" title=\"Theorem\">Theorem<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Decimal\"><\/span>What is a Decimal?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A decimal is a number that is written using a base 10 number system. This means that the number is composed of 10 digits, 0-9, and that the value of each digit is based on its position in the number. For example, the number 987.654 can be decomposed into its individual digits as 9, 8, 7, 6, 5, 4. The value of each digit is based on its position in the number. The 9 is worth 9 times 10^0, or 9. The 8 is worth 8 times 10^1, or 80. The 7 is worth 7 times 10^2, or 700. The 6 is worth 6 times 10^3, or 6000. The 5 is worth 5 times 10^4, or 50000. The 4 is worth 4 times 10^5, or 400000.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156405 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/terminating-decimal-definition-meaning-uses-theorem-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/terminating-decimal-definition-meaning-uses-theorem-and-faqs.jpg?v=1648239195 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/terminating-decimal-definition-meaning-uses-theorem-and-faqs-300x212.jpg?v=1648239195 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Terminating_Math_Definition\"><\/span>What is Terminating Math Definition?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Terminating math is a type of math in which the sequence of operations eventually leads to a result that can be expressed in a finite number of symbols. For example, the sequence of operations 1 + 1 + 1 can be expressed as 3, and the sequence of operations 1 + 1\/2 + 1\/4 can be expressed as 2.5.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Recognising_a_Terminating_Decimal\"><\/span>Recognising a Terminating Decimal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A terminating decimal is a decimal that has a finite number of digits that repeat forever, such as 0.33333&#8230;<\/p>\n<p>Recognising a terminating decimal is easy &#8211; you just need to look for a pattern in the digits. For example, in 0.33333&#8230;, the 3&#8217;s keep appearing. This means that the decimal will keep going until it reaches 3 digits, and then it will repeat those same 3 digits forever.<\/p>\n<p>Other terminating decimals include 0.22222&#8230;, 0.14286&#8230;, and 0.09091&#8230;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Non-Terminating_Meaning\"><\/span>What is Non-Terminating Meaning?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Non-terminating means that a process or sequence of events does not have an end. This can be due to an infinite loop, or an event that keeps happening without any foreseeable end.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Theorem\"><\/span>Theorem<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There exists a unique function that maps every real number to its square root.<\/p>\n<p>Proof<\/p>\n<p>We will use mathematical induction to prove that the function exists and is unique.<\/p>\n<p>The function exists: We will show that there is a function that maps every real number to its square root. We can define such a function by simply taking the square root of each number in the domain.<\/p>\n<p>The function is unique: We will show that the function is unique by demonstrating that no other function can map every real number to its square root. Suppose there were two functions that did this. We would then have two square roots for every number. But this is impossible, because the square root of a number is unique.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a Decimal? A decimal is a number that is written using a base 10 number system. This means [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Terminating Decimal - Definition, Meaning, Uses, Theorem and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about terminating decimal topic of maths in details explained by subject experts on infinitylearn.com. 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